Algebraic Function Fields and Codes - Graduate Texts in Mathematics 254 (Hardback)Henning Stichtenoth (author)
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This book links two subjects: algebraic geometry and coding theory. It uses a novel approach based on the theory of algebraic function fields. Coverage includes the Riemann-Rock theorem, zeta functions and Hasse-Weil's theorem as well as Goppa' s algebraic-geometric codes and other traditional codes. It will be useful to researchers in algebraic geometry and coding theory and computer scientists and engineers in information transmission.
Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Number of pages: 360
Weight: 1550 g
Dimensions: 235 x 155 x 22 mm
Edition: 2nd ed. 2008
From the reviews of the second edition:
"In this book we have an exposition of the theory of function fields in one variable from the algebraic point of view ... . The book is carefully written, the concepts are well motivated and plenty of examples help to understand the ideas and proofs and so it can be used as a textbook for an introductory course on the (classical) arithmetic of function fields with an application to coding theory." (Felipe Zaldivar, MAA Online, January, 2009)
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